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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

In the brain, coherent neuronal activities often appear simultaneously in multiple frequency bands, e.g., as combinations of alpha (8-12 Hz), beta (12.5-30 Hz), gamma (30-120 Hz) oscillations, among others. These rhythms are believed to…

Neurons and Cognition · Quantitative Biology 2023-04-26 Tianyi Wu , Yuhang Cai , Ruilin Zhang , Zhongyi Wang , Louis Tao , Zhuo-Cheng Xiao

We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

Persistent homology applied to the activity of grid cells in the Medial Entorhinal Cortex suggests that this activity lies on a toroidal manifold. By analyzing real data and a simple model, we show that neural oscillations play a key role…

Quantitative Methods · Quantitative Biology 2025-10-14 Giovanni di Sarra , Siddharth Jha , Yasser Roudi

The relation between EEG rhythms, brain functions, and behavioral correlates is well-established. Some mechanisms underlying rhythm generation are understood, enabling the replication of brain rhythms $in\; silico$. This allows to explore…

Neurons and Cognition · Quantitative Biology 2024-08-02 Gustavo Menesse , Joaquin J. Torres

Pancreatic beta cells are coupled excitable oscillators that synchronize their activity via different communication pathways. Their oscillatory activity manifests itself on multiple timescales and consists of bursting electrical activity,…

Biological Physics · Physics 2023-09-14 Marko Šterk , Uroš Barać , Andraž Stožer , Marko Gosak

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neurons. The model of theta neurons (Theta model) captures, in…

Optimization and Control · Mathematics 2024-09-23 Roman Chertovskih , Nikolay Pogodaev , Maxim Staritsyn , Joaquim Da Silva Sewane , Antonio Pedro Aguiar

Electro-cortical activity in patients with epilepsy may show abnormal rhythmic transients in response to stimulation. Even when using the same stimulation parameters in the same patient, wide variability in the duration of transient…

Neurons and Cognition · Quantitative Biology 2017-05-08 Gerold Baier , Peter N Taylor , Yujiang Wang

Mother-child interaction is a highly dynamic process neurally characterized by inter-brain synchrony (IBS) at {\theta} and/or {\alpha} rhythms. However, their establishment, dynamic changes, and roles in mother-child interactions remain…

Neurons and Cognition · Quantitative Biology 2025-09-09 Jiayang Xu , Yamin Li , Ruxin Su , Saishuang Wu , Chengcheng Wu , Haiwa Wang , Qi Zhu , Yue Fang , Fan Jiang , Shanbao Tong , Yunting Zhang , Xiaoli Guo

The brain is characterized by a strong heterogeneity of inhibitory neurons. We report that spiking neural networks display a resonance to the heterogeneity of inhibitory neurons, with optimal input/output responsiveness occurring for levels…

Neurons and Cognition · Quantitative Biology 2021-09-30 Matteo di Volo , Alain Destexhe

We investigate states of enhanced activity in a biological neuronal network composed of pulse-coupled oscillators. The synaptic couplings between the neurons are dynamic, modeling spike time dependent plasticity. The network exhibits…

Disordered Systems and Neural Networks · Physics 2012-08-17 Daniel Ritterskamp , Rudolf Friedrich

Cortical neurons are bistable; as a consequence their local field potentials can fluctuate between quiescent and active states, generating slow 0.5-2 Hz oscillations which are widely known as transitions between Up and Down States. Despite…

Disordered Systems and Neural Networks · Physics 2015-06-05 Jorge Hidalgo , Luis F. Seoane , Jesus M. Cortes , Miguel A. Munoz

Oscillations are omnipresent in neural population signals, like multi-unit recordings, EEG/MEG, and the local field potential. They have been linked to the population firing rate of neurons, with individual neurons firing in a…

Neurons and Cognition · Quantitative Biology 2017-02-08 Hannah Bos , Markus Diesmann , Moritz Helias

It is believed that, much like a cat's cradle, the cytoskeleton can be thought of as a network of strings under tension. We show that both regular and random bond-disordered networks having bonds that buckle upon compression exhibit a…

Soft Condensed Matter · Physics 2009-11-11 Tongye Shen , Peter G. Wolynes

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

We compare the predictions of the dissipative quantum model of brain with neurophysiological data collected from electroencephalograms resulting from high-density arrays fixed on the surfaces of primary sensory and limbic areas of trained…

Neurons and Cognition · Quantitative Biology 2009-11-13 Walter J. Freeman , Giuseppe Vitiello

Recent evidence suggests that beta-band activity plays a key role in decision-making. Here we review our recent work in humans and non-human primates showing that beta-band frequency shifts in frontal cortex signal categorical decision…

Neurons and Cognition · Quantitative Biology 2025-11-06 Saskia Haegens , Julio Rodriguez-Larios , Elie Rassi

Thalamic relay cells fire action potentials that transmit information from retina to cortex. The amount of information that spike trains encode is usually estimated from the precision of spike timing with respect to the stimulus. Sensory…

The development of new techniques to quantitatively measure gene expression in cells has shed light on a number of systems that display oscillations in protein concentration. Here we review the different mechanisms which can produce…

Molecular Networks · Quantitative Biology 2009-11-13 G. Tiana , S. Krishna , S. Pigolotti , M. H. Jensen , K. Sneppen