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We investigate the nature of the modifications in the temporal dynamics manifested in the high-frequency EEG spectra of the normal human brain in comparison to the diseased brain undergoing epilepsy. For this purpose, the Fourier…

Chaotic Dynamics · Physics 2025-08-19 Jyotiraj Nath , Shreya Banerjee , Bhaswati Singha Deo , Mayukha Pal , Prasanta K. Panigrahi

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

Functional brain imaging through electroencephalography (EEG) relies upon the analysis and interpretation of high-dimensional, spatially organized time series. We propose to represent time-localized frequency domain characterizations of EEG…

Neural activity fluctuates over a wide range of timescales within and across brain areas. Experimental observations suggest that diverse neural timescales reflect information in dynamic environments. However, how timescales are defined and…

Neurons and Cognition · Quantitative Biology 2026-01-21 Roxana Zeraati , Anna Levina , Jakob H. Macke , Richard Gao

Our current understanding of brain rhythms is based on quantifying their instantaneous or time-averaged characteristics. What remains unexplored, is the actual structure of the waves -- their shapes and patterns over finite timescales. To…

Neurons and Cognition · Quantitative Biology 2022-05-10 Clarissa Hoffman , Jingheng Cheng , Daoyun Ji , Y. Dabaghian

We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such…

Biological Physics · Physics 2016-09-08 Malvin C. Teich , Steven B. Lowen , Bradley M. Jost , Karin Vibe-Rheymer , Conor Heneghan

Characterising brain activity at rest is of paramount importance to our understanding both of general principles of brain functioning and of the way brain dynamics is affected in the presence of neurological or psychiatric pathologies. We…

Neurons and Cognition · Quantitative Biology 2019-07-25 Massimiliano Zanin , Bahar Güntekin , Tuba Aktürk , Lütfü Hanoğlu , David Papo

We explore how to study dynamical interactions between brain regions using functional multilayer networks whose layers represent the different frequency bands at which a brain operates. Specifically, we investigate the consequences of…

Neurons and Cognition · Quantitative Biology 2017-09-15 Javier M. Buldú , Mason A. Porter

Intracranial recordings have opened a unique opportunity to simultaneously measure activity across multiregional networks in the human brain. Recent works have focused on developing transformer-based neurofoundation models of such…

Machine Learning · Computer Science 2025-12-16 Lucine L. Oganesian , Saba Hashemi , Maryam M. Shanechi

The frequency-specific coupling mechanism of the functional human brain networks underpins its complex cognitive and behavioral functions. Nevertheless, it is not well unveiled what are the frequency-specific subdivisions and network…

Neurons and Cognition · Quantitative Biology 2021-03-30 Zhiguo Luo , Ling-Li Zeng , Hui Shen , Dewen Hu

Electrophysiological brain signals, such as electroencephalography (EEG), exhibit both periodic and aperiodic components, with the latter often modeled as 1/f noise and considered critical to cognitive and neurological processes. Although…

Neurons and Cognition · Quantitative Biology 2025-05-27 Yuhao Sun , Zhiyuan Ma , Xinke Shen , Jinhao Li , Guan Wang , Sen Song

To discuss the salient role of the statistical memory effects in the human brain functioning we have analyzed a set of stochastic memory quantifiers that reflects the dynamical characteristics of neuromagnetic brain responses to a…

Medical Physics · Physics 2009-11-13 R. M. Yulmetyev , D. G. Yulmetyeva , E. V. Khusaenova , P. Hänggi , S. Shimojo , J. Bhattacharya

The resistive or non-resistive nature of the extracellular space in the brain is still debated, and is an important issue for correctly modeling extracellular potentials. Here, we first show theoretically that if the medium is resistive,…

Neurons and Cognition · Quantitative Biology 2015-03-13 Nima Dehghani , Claude Bedard , Sydney S. Cash , Eric Halgren , Alain Destexhe

Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

Methodology · Statistics 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

Many studies have discussed the difference in brain activity related to encoding and retrieval of working memory (WM) tasks. However, it remains unclear if there is a change in brain activation associated with re-encoding. The main…

Neurons and Cognition · Quantitative Biology 2021-12-14 Gi-Hwan Shin , Young-Seok Kweon

The human brain is composed of distinct regions that are each associated with particular functions and distinct propensities for the control of neural dynamics. However, the relation between these functions and control profiles is poorly…

Neurons and Cognition · Quantitative Biology 2020-06-02 Evelyn Tang , Harang Ju , Graham L. Baum , David R. Roalf , Theodore D. Satterthwaite , Fabio Pasqualetti , Danielle S. Bassett

Many complex systems display self-organized critical states characterized by 1/f frequency scaling of power spectra. Global variables such as the electroencephalogram, scale as 1/f, which could be the sign of self-organized critical states…

Neurons and Cognition · Quantitative Biology 2009-11-13 Claude Bedard , Helmut Kroeger , Alain Destexhe

Many studies collect functional data from multiple subjects that have both multilevel and multivariate structures. An example of such data comes from popular neuroscience experiments where participants' brain activity is recorded using…

Methodology · Statistics 2019-09-19 Jun Zhang , Greg J Siegle , Wendy D'Andrea , Robert T Krafty

We propose a model of processing of information in the brain which has the following distinguishing features: a). It is quantum-like (QL). The brain uses the quantum rule (given by von Neumann trace formula) for calculation of averages for…

Neurons and Cognition · Quantitative Biology 2010-08-03 Andrei Yu. Khrennikov