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We have shortly reviewed the occurrence of the post-synaptic potentials between neurons, the relation between EEG and neuron dynamics, as well as methods of signal analysis. We supposed a simple stochastic model representing electrical…

Statistical Mechanics · Physics 2007-05-23 Ekrem Aydiner , Adil M. Vural , Bekir Ozcelik , Kerim Kiymac , Uner Tan

We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic…

Neurons and Cognition · Quantitative Biology 2021-02-17 Jorge Pretel , Joaquin J. Torres , J. Marro

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

Neurons and Cognition · Quantitative Biology 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

We calculate a measure of statistical complexity from the global dynamics of electroencephalographic (EEG) signals from healthy subjects and epileptic patients, and are able to stablish a criterion to characterize the collective behavior in…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 M. Escalona-Moran , M. G. Cosenza , R. Lopez-Ruiz , P. Garcia

Purpose: The understanding of brain activity, and in particular events such as epileptic seizures, lies on the characterisation of the dynamics of the neural networks. The theory of non-linear dynamics provides signal analysis techniques…

Medical Physics · Physics 2007-05-23 C. Silva , I. R. Pimentel , A. Andrade , J. P. Foreid , E. Ducla-Soares

While differences in patterns of functional connectivity and neural synchronization have been reported between individuals on the autism spectrum and neurotypical peers at various age stages, these differences appear to be subtle and may…

Neurons and Cognition · Quantitative Biology 2025-07-15 Sungwoo Ahn , Leonid L Rubchinsky , Evie A Malaia

Neural activity patterns related to behavior occur at many scales in time and space from the atomic and molecular to the whole brain. Here we explore the feasibility of interpreting neurophysiological data in the context of many-body…

Other Quantitative Biology · Quantitative Biology 2009-11-11 Walter J. Freeman , Giuseppe Vitiello

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

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

It is well known that Electroencephalography(EEG) and the respective evoked potentials have deep implications corresponding to specific cognitive tasks and in the diagnosis of several diseases such as epilepsy and schizophrenia. Some recent…

Neurons and Cognition · Quantitative Biology 2007-05-23 I. Mitra

Most brain models focus on associative memory or calculation capability, experimentally inaccessible using physiological methods. Here we present a model explaining a basic feature of electroencephalograms (EEG). Our model is based on an…

Neurons and Cognition · Quantitative Biology 2007-05-23 Lucilla de Arcangelis , Hans J. Herrmann , Carla Perrone-Capano

Neural synchronization is believed to be critical for many brain functions. It frequently exhibits temporal variability, but it is not known if this variability has a specific temporal patterning. This study explores these…

Neurons and Cognition · Quantitative Biology 2013-03-11 Sungwoo Ahn , Leonid L. Rubchinsky

Epilepsy is a neurological disorder arising from anomalies of the electrical activity in the brain, affecting about 0.5--0.8\% of the world population. Several studies investigated the relationship between seizures and brainwave…

Machine Learning · Computer Science 2018-01-25 Paolo Detti , Garazi Zabalo Manrique de Lara , Renato Bruni , Marco Pranzo , Francesco Sarnari

The underlying dynamics for the electroencephalographic (EEG) recordings from humans but especially epilepsy patients are usually not completely known. However, the ictal activity is claimed to be characterized by synchronous oscillations…

Biological Physics · Physics 2010-08-09 Caglar Tuncay

Low-dimensional yet rich dynamics often emerge in the brain. Examples include oscillations and chaotic dynamics during sleep, epilepsy, and voluntary movement. However, a general mechanism for the emergence of low dimensional dynamics…

Neurons and Cognition · Quantitative Biology 2018-08-29 Wilten Nicola , Peter Hellyer , Sue Ann Campbell , Claudia Clopath

Brain function as measured by multichannel EEG recordings can be described to a high level of accuracy by microstates, characterized as a sequence of time intervals within which the sign invariant normalized scalp electric potential field…

Neurons and Cognition · Quantitative Biology 2022-08-08 Roberto D. Pascual-Marqui , Kieko Kochi , Toshihiko Kinoshita

Mental disorders present challenges in diagnosis and treatment due to their complex and heterogeneous nature. Electroencephalogram (EEG) has shown promise as a potential biomarker for these disorders. However, existing methods for analyzing…

Methodology · Statistics 2024-01-30 Xingche Guo , Bin Yang , Ji Meng Loh , Qinxia Wang , Yuanjia Wang

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

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

The dynamic behavior of scalp potentials (EEG) is apparently due to some combination of global and local processes with important top-down and bottom-up interactions across spatial scales. In treating global mechanisms, we stress the…

Neurons and Cognition · Quantitative Biology 2010-04-27 Lester Ingber , Paul L. Nunez
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