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We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory neurons. We focus on the factors that determine the level…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. A. White , C. C. Chow , J. Ritt , C. Soto-Trevino , N. Kopell

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

We investigate temporal coherence and spatial synchronization on small-world networks consisting of noisy Terman-Wang (TW) excitable neurons in dependence on two types of time-delayed coupling: $\{x_j(t-\tau)-x_i (t)\}$ and…

Disordered Systems and Neural Networks · Physics 2011-09-01 Hao Wu , Huijun Jiang , Zhonghuai Hou

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

Electrical coupling between neurons is broadly present across brain areas and is typically assumed to synchronize network activity. However, intrinsic properties of the coupled cells can complicate this simple picture. Many cell types with…

Adaptation and Self-Organizing Systems · Physics 2018-01-19 Thomas Chartrand , Mark S. Goldman , Timothy J. Lewis

We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHugh-Nagumo systems with parameter values at which no…

Chaotic Dynamics · Physics 2009-11-11 B. Hauschildt , N. B. Janson , A. Balanov , E. Schoell

We study the decoherence dynamics of dipole-coupled two-level quantum systems in Ramsey-type experiments. We focus on large networks of two-level systems, confined to two spatial dimensions and with positional disorder giving rise to…

Quantum Gases · Physics 2017-11-15 M. P. Kwasigroch , N. R. Cooper

We analyze the control of frequency for a synchronized inhibitory neuronal network. The analysis is done for a reduced membrane model with a biophysically-based synaptic influence. We argue that such a reduced model can quantitatively…

Neurons and Cognition · Quantitative Biology 2007-05-23 Carson C. Chow , John A. White , Jason Ritt , Nancy Kopell

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

Recent advances in sleep neurobiology have allowed development of physiologically based mathematical models of sleep regulation that account for the neuronal dynamics responsible for the regulation of sleep-wake cycles and allow detailed…

Biological Physics · Physics 2012-09-25 Marco Patriarca , Svetlana Postnova , Hans A. Braun , Emilio Hernández-García , Raúl Toral

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

Identifying the physiological processes underlying the emergence and maintenance of consciousness is one of the most fundamental problems of neuroscience, with implications ranging from fundamental neuroscience to the treatment of patients…

Neurons and Cognition · Quantitative Biology 2019-07-29 Julien Modolo , Mahmoud Hassan , Fabrice Wendling , Pascal Benquet

Synchronization of oscillations is a phenomenon prevalent in natural, social, and engineering systems. Controlling synchronization of oscillating systems is motivated by a wide range of applications from neurological treatment of…

Optimization and Control · Mathematics 2015-03-19 Jr-Shin Li , Isuru Dasanayake , Justin Ruths

The information transfer in the thalamus is blocked dynamically during sleep, in conjunction with the occurence of spindle waves. As the theoretical understanding of the mechanism remains incomplete, we analyze two modeling approaches for a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Joerg Mayer , Heinz Georg Schuster , Jens Christian Claussen

Neural oscillations are considered to be brain-specific signatures of information processing and communication in the brain. They also reflect pathological brain activity in neurological disorders, thus offering a basis for diagnoses and…

Neurons and Cognition · Quantitative Biology 2023-10-23 Tena Dubcek , Debora Ledergerber , Jana Thomann , Giovanna Aiello , Marc Serra-Garcia , Lukas Imbach , Rafael Polania

Cortical activity recorded through EEG and MEG reflects complex dynamics that span multiple temporal and spatial scales. Spectral analyses of these signals consistently reveal power-law behaviour, a hallmark of turbulent systems. In this…

Adaptation and Self-Organizing Systems · Physics 2025-08-01 Gerald Kaushallye Cooray

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to…

Pattern Formation and Solitons · Physics 2015-04-22 Zachary P. Kilpatrick

Neural circuits exhibit remarkable computational flexibility, enabling adaptive responses to noisy and ever-changing environmental cues. A fundamental question in neuroscience concerns how a wide range of behaviors can emerge from a…

Statistical Mechanics · Physics 2025-09-18 Giacomo Barzon , Daniel M. Busiello , Giorgio Nicoletti

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information…

Medical Physics · Physics 2010-06-29 O. Yu. Panischev , S. A. Demin , J. Bhattacharya

Cardiac and respiratory rhythms are known to exhibit a modest degree of phase synchronization, which is affected by age, diseases, and other factors. We study the fine temporal structure of this synchrony in healthy young, healthy elderly,…

Tissues and Organs · Quantitative Biology 2021-04-26 Sungwoo Ahn , Jessica Solfest1 , Leonid L Rubchinsky