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Oscillatory activities are widely observed in specific frequency bands of recorded field potentials in different brain regions, and play critical roles in processing neural information. Understanding the structure of these oscillatory…

Neurons and Cognition · Quantitative Biology 2015-07-23 Pengsheng Zheng

We investigate the possibility that narrowband oscillations may emerge from completely asynchronous, independent neural firing. We find that a population of asynchronous neurons may produce narrowband oscillations if each neuron fires…

Neurons and Cognition · Quantitative Biology 2015-12-08 Stephen V. Gliske , Eugene Lim , Katherine A. Holman , William C. Stacey , Christian G. Fink

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

Rhythm processing involves building expectations according to the hierarchical temporal structure of auditory events. Although rhythm processing has been addressed in the context of predictive coding, the properties of the oscillatory…

Neurons and Cognition · Quantitative Biology 2021-10-19 Mohammadreza Edalati , Mahdi Mahmoudzadeh , Javad Safaie , Fabrice Wallois , Sahar Moghimi

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

In neurosciences, the brain processes information via the firing patterns of connected neurons operating across a spectrum of frequencies. To better understand the effects of these frequencies in the neuron dynamics, we have simulated a…

Neurons and Cognition · Quantitative Biology 2025-11-21 Gabriel Marghoti , Thiago L. Prado , Miguel A. F. Sanjuán , Sergio R. Lopes

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

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

The mechanisms underlying pathologically synchronized neural oscillations in Parkinson's disease (PD) and generalized epilepsies are jointly explored via a neural field model of the corticothalamic-basal ganglia (CTBG) system. The basal…

Neurons and Cognition · Quantitative Biology 2024-01-25 Eli J Müller , Sacha J van Albada , Jong-Won Kim , Peter A Robinson

We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different…

Neurons and Cognition · Quantitative Biology 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

In neural circuits, synaptic strengths influence neuronal activity by shaping network dynamics, and neuronal activity influences synaptic strengths through activity-dependent plasticity. Motivated by this fact, we study a recurrent-network…

Neurons and Cognition · Quantitative Biology 2024-01-12 David G. Clark , L. F. Abbott

The activity of neurons is correlated, and this correlation affects how the brain processes information. We study the neural circuit mechanisms of correlations by analyzing a network model characterized by strong and heterogeneous…

Neurons and Cognition · Quantitative Biology 2012-12-03 Alberto Bernacchia , Xiao-Jing Wang

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

Neurons and Cognition · Quantitative Biology 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

Empirical studies over the past two decades have supported the hypothesis that schizophrenia is characterized by altered connectivity patterns in functional brain networks. These alterations have been proposed as genetically-mediated…

Neurons and Cognition · Quantitative Biology 2013-06-28 Felix Siebenhuhner , Shennan A. Weiss , Richard Coppola , Daniel R. Weinberger , Danielle S. Bassett

We analyze the influence of music in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report an increase of coherence between the global dynamics in our network and the…

Adaptation and Self-Organizing Systems · Physics 2022-06-10 Jakub Sawicki , Lenz Hartmann , Rolf Bader , Eckehard Schöll

Recordings from area V4 of monkeys have revealed that when the focus of attention is on a visual stimulus within the receptive field of a cortical neuron, two distinct changes can occur: The firing rate of the neuron can change and there…

Neurons and Cognition · Quantitative Biology 2007-05-23 Paul H. E. Tiesinga , Jean-Marc Fellous , Emilio Salinas , Jorge V. Jose , Terrence J. Sejnowski

Although recurrent neural networks (RNNs) trained on cognitive tasks have become a widely used framework for studying neural computation, the internal mechanisms by which RNNs switch between rhythms across multiple frequency bands, and how…

Neurons and Cognition · Quantitative Biology 2026-05-15 Yutaka Yamaguti , Shota Nakamura

We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic current, this synapse introduces…

Statistical Mechanics · Physics 2015-05-13 T. Pereira , M. S. Baptista , J. Kurths , M. B. Reyes

There is growing evidence in favour of the temporal-coding hypothesis that temporal correlation of neuronal discharges may serve to bind distributed neuronal activity into unique representations and, in particular, that $\theta$ (3.5-7.5…

Neurons and Cognition · Quantitative Biology 2008-10-30 Jane H. Sheeba , Aneta Stefanovska , Peter V. E. McClintock

What input signals will lead to synchrony vs. desynchrony in a group of biological oscillators? This question connects with both classical dynamical systems analyses of entrainment and phase locking and with emerging studies of stimulation…

Dynamical Systems · Mathematics 2015-03-17 Guillaume Lajoie , Eric Shea-Brown