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Related papers: A Framework to Control Functional Connectivity in …

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Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise.…

Pattern Formation and Solitons · Physics 2026-01-27 Jason Hindes , Ira B. Schwartz , Melvyn Tyloo

We study the phase synchronization of Kuramoto's oscillators in small parts of networks known as motifs. We first report on the system dynamics for the case of a scale-free network and show the existence of a non-trivial critical point. We…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Miguel Vazquez-Prada , Amalio F. Pacheco

Today, the human brain can be studied as a whole. Electroencephalography, magnetoencephalography, or functional magnetic resonance imaging techniques provide functional connectivity patterns between different brain areas, and during…

Data Analysis, Statistics and Probability · Physics 2011-01-21 Mario Chavez , Miguel Valencia , Vito Latora , Jacques Martinerie

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

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

Imagine a group of oscillators, each endowed with their own rhythm or frequency, be it the ticking of a biological clock, the swing of a pendulum, or the glowing of fireflies. While these individual oscillators may seem independent of one…

Dynamical Systems · Mathematics 2025-01-13 Abhiram Gorle

We present a framework for controlling the collective phase of a system of coupled oscillators described by the Kuramoto model under the influence of a periodic external input by combining the methods of dynamical reduction and optimal…

Adaptation and Self-Organizing Systems · Physics 2025-04-15 Narumi Fujii , Hiroya Nakao

Understanding the relationship between large-scale structural and functional brain networks remains a crucial issue in modern neuroscience. Recently, there has been growing interest in investigating the role of homeostatic plasticity…

Neurons and Cognition · Quantitative Biology 2018-10-25 Rodrigo P. Rocha , Loren Koçillari , Samir Suweis , Maurizio Corbetta , Amos Maritan

We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the…

Adaptation and Self-Organizing Systems · Physics 2019-07-17 Lukas Ramlow , Jakub Sawicki , Anna Zakharova , Jaroslav Hlinka , Jens Christian Claussen , Eckehard Schöll

We investigate the influence of indirect connections, interregional distance and collective effects on the large-scale functional networks of the human cortex. We study topologies of empirically derived resting state networks (RSNs),…

Neurons and Cognition · Quantitative Biology 2013-02-18 Vesna Vuksanović , Philipp Hövel

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

Adaptation and Self-Organizing Systems · Physics 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

Cortical oscillations are thought to be involved in many cognitive functions and processes. Several mechanisms have been proposed to regulate oscillations. One prominent but understudied mechanism is gap-junctional coupling. Gap junctions…

Neurons and Cognition · Quantitative Biology 2018-07-04 Guillaume Pernelle , Wilten Nicola , Claudia Clopath

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

Neurons and Cognition · Quantitative Biology 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

We propose a framework for achieving perfect synchronization in complex networks of Sakaguchi-Kuramoto oscillators in presence of higher order interactions (simplicial complexes) at a targeted point in the parameter space. It is achieved by…

Physics and Society · Physics 2023-03-17 Sangita Dutta , Prosenjit Kundu , Pitambar Khanra , Chittaranjan Hens , Pinaki Pal

Knowing brain connectivity is of great importance both in basic research and for clinical applications. We are proposing a method to infer directed connectivity from zero-lag covariances of neuronal activity recorded at multiple sites. This…

Neurons and Cognition · Quantitative Biology 2018-04-10 Jonathan Schiefer , Alexander Niederbühl , Volker Pernice , Carolin Lennartz , Pierre LeVan , Jürgen Henning , Stefan Rotter

Mapping the functional connectome has the potential to uncover key insights into brain organisation. However, existing workflows for functional connectomics are limited in their adaptability to new data, and principled workflow design is a…

Neurons and Cognition · Quantitative Biology 2022-06-02 Rastko Ciric , Armin W. Thomas , Oscar Esteban , Russell A. Poldrack

Large efforts are currently under way to systematically map functional connectivity between all pairs of millimeter-scale brain regions using big volumes of neuroimaging data. Functional magnetic resonance imaging (fMRI) can produce these…

Neurons and Cognition · Quantitative Biology 2014-09-24 Enzo Tagliazucchi , Helmut Laufs , Dante R. Chialvo

Functional brain imaging allows measuring dynamic functionality in all brain regions. It is broadly used in clinical cognitive neuroscience as, well as in research. It will allow the observation of neural activities in the brain…

Medical Physics · Physics 2016-04-01 Saman Sarraf , Jian Sun

We present an efficient technique for control of synchrony in a globally coupled ensemble by pulsatile action. We assume that we can observe the collective oscillation and can stimulate all elements of the ensemble simultaneously. We pay…

Chaotic Dynamics · Physics 2020-10-28 Michael Rosenblum