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The study of balanced networks of excitatory and inhibitory neurons has led to several open questions. On the one hand it is yet unclear whether the asynchronous state observed in the brain is autonomously generated, or if it results from…

Neurons and Cognition · Quantitative Biology 2016-09-22 Rodrigo Echeveste , Claudius Gros

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

The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--function issue, treating a system of Jansen--Rit neural-mass…

Neurons and Cognition · Quantitative Biology 2020-07-10 Michael Forrester , Stephen Coombes , Jonathan J. Crofts , Stamatios N. Sotiropoulos , Reuben D. O'Dea

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

Neurons and Cognition · Quantitative Biology 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

Biological cortical networks are potentially fully recurrent networks without any distinct output layer, where recognition may instead rely on the distribution of activity across its neurons. Because such biological networks can have rich…

Neurons and Cognition · Quantitative Biology 2022-11-14 Pakorn Uttayopas , Xiaoxiao Cheng , Udaya Bhaskar Rongala , Henrik Jörntell , Etienne Burdet

Studies of the dynamics of nonlinear recurrent neural networks often assume independent and identically distributed couplings, but large-scale connectomics data indicate that biological neural circuits exhibit markedly different…

Neurons and Cognition · Quantitative Biology 2025-10-28 David G. Clark , Owen Marschall , Alexander van Meegen , Ashok Litwin-Kumar

The brain is in a state of perpetual reverberant neural activity, even in the absence of specific tasks or stimuli. Shedding light on the origin and functional significance of such a dynamical state is essential to understanding how the…

Statistical Mechanics · Physics 2022-07-08 Guillermo B. Morales , Serena Di Santo , Miguel A. Munoz

Spontaneous cortical population activity exhibits a multitude of oscillatory patterns, which often display synchrony during slow-wave sleep or under certain anesthetics and stay asynchronous during quiet wakefulness. The mechanisms behind…

Neurons and Cognition · Quantitative Biology 2018-06-20 Rodrigo F. O. Pena , Michael A. Zaks , Antonio C. Roque

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

Adaptation and Self-Organizing Systems · Physics 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha

Little is currently known about the coordination of neural activity over longitudinal time-scales and how these changes relate to behavior. To investigate this issue, we used resting-state fMRI data from a single individual to identify the…

Neurons and Cognition · Quantitative Biology 2017-05-30 James M. Shine , Oluwasanmi Koyejo , Russell A. Poldrack

Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

Neurons and Cognition · Quantitative Biology 2024-11-26 Naoki Masuda , Kazuyuki Aihara

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

It has become increasingly popular to study the brain as a network due to the realization that functionality cannot be explained exclusively by independent activation of specialized regions. Instead, across a large spectrum of behaviors,…

Neurons and Cognition · Quantitative Biology 2014-07-22 Petko Bogdanov , Nazli Dereli , Danielle S. Bassett , Scott T. Grafton , Ambuj K. Singh

Complex systems in the real world can be modeled as a network of connected components. The human brain, as a network of neurons among which the interactions cause perception, is a complex network. Synchronization is a dynamical phenomenon…

Biological Physics · Physics 2019-04-30 Arefeh Mazarei , Mohammad Amirian Matlob , Gholamhossein Riazi , Yousef Jamali

Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of complex spatiotemporal patterns in a large scale-brain model…

Neurons and Cognition · Quantitative Biology 2025-12-04 Rosa Maria Delicado , Gemma Huguet , Pau Clusella

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

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

The dynamic core hypothesis posits that consciousness is correlated with simultaneously integrated and differentiated assemblies of transiently synchronized brain regions. We represented time-dependent functional interactions using dynamic…

Neurons and Cognition · Quantitative Biology 2024-06-19 Sofia Morena del Pozo , Helmut Laufs , Vincent Bonhomme , Steven Laureys , Pablo Balenzuela , Enzo Tagliazucchi