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Characterizing the brain dynamics during different cortical states can reveal valuable information about its patterns across various cognitive processes. In particular, studying the differences between awake and sleep stages can shed light…

For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the firing rate which include the ones made in previous works…

Analysis of PDEs · Mathematics 2018-08-29 Stéphane Mischler , Cristobal Quiñinao , Qilong Weng

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

Balance of excitation and inhibition is a fundamental feature of in vivo network activity and is important for its computations. However, its presence in the neocortex of higher mammals is not well established. We investigated the dynamics…

Neurons in the visual cortex are correlated in their variability. The presence of correlation impacts cortical processing because noise cannot be averaged out over many neurons. In an effort to understand the functional purpose of…

Machine Learning · Computer Science 2018-04-04 Shamak Dutta , Bryan Tripp , Graham Taylor

In the human brain, sequences of language input are processed within a distributed and hierarchical architecture, in which higher stages of processing encode contextual information over longer timescales. In contrast, in recurrent neural…

Computation and Language · Computer Science 2021-03-19 Hsiang-Yun Sherry Chien , Jinhan Zhang , Christopher. J. Honey

The segregated regions of the mammalian cerebral cortex and thalamus form an extensive and complex network, whose structure and function are still only incompletely understood. The present article describes an application of the concepts of…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Olaf Sporns

Brain oscillations exhibit long-range temporal correlations (LRTCs), which reflect the regularity of their fluctuations: low values representing more random (decorrelated) while high values more persistent (correlated) dynamics. LRTCs…

Neurons and Cognition · Quantitative Biology 2018-02-05 Tomas Ros , Paul Frewen , Jean Theberge , Rosemarie Kluetsch , Andreas Mueller , Gian Candrian , Rakesh Jetly , Patrik Vuilleumier , Ruth Lanius

Fluctuations in heart rate are intimately tied to changes in the physiological state of the organism. We examine and exploit this relationship by classifying a human subject's wake/sleep status using his instantaneous heart rate (IHR)…

Applications · Statistics 2018-08-02 John Malik , Yu-Lun Lo , Hau-tieng Wu

We investigate the relationship of resting-state fMRI functional connectivity estimated over long periods of time with time-varying functional connectivity estimated over shorter time intervals. We show that using Pearson's correlation to…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Makoto Fukushima , Ye He , Xi-Nian Zuo , Olaf Sporns

Recurrent neural networks (RNNs) in the brain and in silico excel at solving tasks with intricate temporal dependencies. Long timescales required for solving such tasks can arise from properties of individual neurons (single-neuron…

Neural and Evolutionary Computing · Computer Science 2024-10-31 Sina Khajehabdollahi , Roxana Zeraati , Emmanouil Giannakakis , Tim Jakob Schäfer , Georg Martius , Anna Levina

Understanding the neural correlates of consciousness remains a central challenge in neuroscience. In this study, we investigate the relationship between consciousness and neural responsiveness by analyzing intracranial ECoG recordings from…

Neurons and Cognition · Quantitative Biology 2025-12-04 Wenkang Du , Haiping Huang

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

The occurrence of sleep passed through the evolutionary sieve and is widespread in animal species. Sleep is known to be beneficial to cognitive and mnemonic tasks, while chronic sleep deprivation is detrimental. Despite the importance of…

Neurons and Cognition · Quantitative Biology 2019-11-19 Cristiano Capone , Elena Pastorelli , Bruno Golosio , Pier Stanislao Paolucci

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

Neurons and Cognition · Quantitative Biology 2015-01-05 Netta Haroush , Shimon Marom

Large-scale functional networks have been extensively studied using resting state functional magnetic resonance imaging. However, the pattern, organization, and function of fine-scale network activity remain largely unknown. Here we…

Neurons and Cognition · Quantitative Biology 2017-03-01 Kun-Han Lu , Jun Young Jeong , Haiguang Wen , Zhongming Liu

Most of animal and human behavior occurs on time scales much longer than the response times of individual neurons. In many cases, it is plausible that these long time scales emerge from the recurrent dynamics of electrical activity in…

Biological Physics · Physics 2024-08-23 Xiaowen Chen , William Bialek

The neocortex, a complex system driving multi-region interactions, remains a core puzzle in neuroscience. Despite quantitative insights across brain scales, understanding the mechanisms underlying neural activities is challenging. Advances…

Neurons and Cognition · Quantitative Biology 2024-11-27 Xiaochen Wang , Yuxuan Wu , Feng Zhang , Jin Wang

Sleep is considered to play an essential role in memory reorganization. Despite its importance, classical theoretical models did not focus on some sleep characteristics. Here, we review recent theoretical approaches investigating their…

Neurons and Cognition · Quantitative Biology 2023-10-23 Kensuke Yoshida , Taro Toyoizumi

The observation of apparent power-laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of self-organised criticality a…

Neurons and Cognition · Quantitative Biology 2014-10-22 Caroline Hartley , Timothy J Taylor , Istvan Z Kiss , Simon F Farmer , Luc Berthouze