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The brain is a system operating on multiple time scales, and characterisation of dynamics across time scales remains a challenge. One framework to study such dynamics is that of fractal geometry. However, currently there exists no…

Neurons and Cognition · Quantitative Biology 2018-12-12 Lucas G. S. França , José G. V. Miranda , Marco Leite , Niraj K. Sharma , Matthew C. Walker , Louis Lemieux , Yujiang Wang

Functions of brain areas in complex animals are believed to rely on the dynamics of networks of neurons rather than on single neurons. On the other hand, the network dynamics reflect and arise from the integration and coordination of the…

Neurons and Cognition · Quantitative Biology 2017-01-03 Stefano Cavallari

This study proposes a Duffing oscillator based measurement framework for detecting frequency components associated with postsynaptic potential related activity in EEG recordings. The Duffing oscillator is employed as a nonlinear measurement…

Physics and Society · Physics 2026-01-14 Mahmut Akilli , Nazmi Yilmaz

Adaptive behavior, cognition and emotion are the result of a bewildering variety of brain spatiotemporal activity patterns. An important problem in neuroscience is to understand the mechanism by which the human brain's 100 billion neurons…

Neurons and Cognition · Quantitative Biology 2011-05-09 Paul Expert , Renaud Lambiotte , Dante R. Chialvo , Kim Christensen , Henrik Jeldtoft Jensen , David J. Sharp , Federico Turkheimer

Multi-electrode arrays (MEA) are increasingly used to investigate spontaneous neuronal network activity. The recorded signals comprise several distinct components: Apart from artefacts without biological significance, one can distinguish…

Neurons and Cognition · Quantitative Biology 2017-04-03 Måns Henningson , Sebastian Illes

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

Neurons and Cognition · Quantitative Biology 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

From 1/f noise to neuronal avalanches, evidence of scaling in brain activity has been increasingly linked to tuning to or near criticality. The concept of scaling is intimately related to the renormalization group (RG), in essence providing…

Neurons and Cognition · Quantitative Biology 2026-03-17 Irem Topal , Anna Poggialini , Marco Dal Maschio , Daniele De Martino , Oren Shriki , Fabrizio Lombardi

Resting-state brain networks represent the intrinsic state of the brain during the majority of cognitive and sensorimotor tasks. However, no study has yet presented concise predictors of task-induced vigilance variability from…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Mastaneh Torkamani-Azar , Sumeyra Demir Kanik , Serap Aydin , Mujdat Cetin

The brain can be understood as a collection of interacting neuronal oscillators, but the extent to which its sustained activity is due to coupling among brain areas is still unclear. Here we study the joint dynamics of two cortical columns…

Neurons and Cognition · Quantitative Biology 2018-01-17 Maciej Jedynak , Antonio J. Pons , Jordi Garcia-Ojalvo

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Traits are patterns of brain signals and behaviors that are stable over time but differ across individuals, whereas states are phasic patterns that vary over time, are influenced by the environment, yet oscillate around the traits. The…

Neurons and Cognition · Quantitative Biology 2024-11-20 Qianying Wu , Shigeki Nakauchi , Mohammad Shehata , Shinsuke Shimojo

Assessment of mental workload in real-world conditions is key to ensure the performance of workers executing tasks that demand sustained attention. Previous literature has employed electroencephalography (EEG) to this end despite having…

Machine Learning · Computer Science 2024-10-30 Isabela Albuquerque , João Monteiro , Olivier Rosanne , Abhishek Tiwari , Jean-François Gagnon , Tiago H. Falk

Dynamic excitatory-inhibitory (E-I) balance is a paradigmatic mechanism invoked to explain the irregular low firing activity observed in the cortex. However, we will show that the E-I balance can be at the origin of other regimes observable…

Neurons and Cognition · Quantitative Biology 2023-11-13 Hongjie Bi , Matteo Di Volo , Alessandro Torcini

The brain activity and seismicity share a remarkable similarity. The Gutenberg-Richter law describing a power-law relation between the frequency of earthquake occurrence and released energy has its counterpart in the brain activity of a…

Statistical Mechanics · Physics 2023-10-24 Sumiyoshi Abe , Norikazu Suzuki

Electroencephalogram (EEG) is a common tool used to understand brain activities. The data are typically obtained by placing electrodes at the surface of the scalp and recording the oscillations of currents passing through the electrodes.…

Signal Processing · Electrical Eng. & Systems 2021-02-19 Eddy Kwessi , Lloyd Edwards

We consider an excitatory random network of leaky integrate-and-fire pulse coupled neurons. The neurons are connected as in a directed Erd\"os-Renyi graph with average connectivity $<k>$ scaling as a power law with the number of neurons in…

Disordered Systems and Neural Networks · Physics 2012-08-28 Lorenzo Tattini , Simona Olmi , Alessandro Torcini

Navigating through a physical environment to reach a desired location involves a complex interplay of cognitive, sensory, and motor functions. When navigating with others, experiencing a degree of behavioral and cognitive synchronization is…

Neurons and Cognition · Quantitative Biology 2024-06-11 Chun-Hsiang Chuang , Po-Hsun Peng , Yi-Chieh Chen

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…

Neurons and Cognition · Quantitative Biology 2025-09-04 Nimrod Sherf , Xaq Pitkow , Krešimir Josić , Kevin E. Bassler

Recently Segev et al. (Phys. Rev. E 64,2001, Phys.Rev.Let. 88, 2002) made long-term observations of spontaneous activity of in-vitro cortical networks, which differ from predictions of current models in many features. In this paper we…

Neurons and Cognition · Quantitative Biology 2009-11-10 Maria Marinaro , Silvia Scarpetta

Avalanches of electrochemical activity in brain networks have been empirically reported to obey scale-invariant behavior --characterized by power-law distributions up to some upper cut-off-- both in vitro and in vivo. Elucidating whether…

Neurons and Cognition · Quantitative Biology 2018-01-03 Matteo Martinello , Jorge Hidalgo , Serena di Santo , Amos Maritan , Dietmar Plenz , Miguel A. Muñoz
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