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The brain's functional connectivity fluctuates over time instead of remaining steady in a stationary mode even during the resting state. This fluctuation establishes the dynamical functional connectivity that transitions in a non-random…

Neurons and Cognition · Quantitative Biology 2022-03-28 Shikuang Deng , Jingwei Li , B. T. Thomas Yeo , Shi Gu

This review provides a dynamical systems perspective on psychiatric symptoms and disease, and discusses its potential implications for diagnosis, prognosis, and treatment. After a brief introduction into the theory of dynamical systems, we…

Neurons and Cognition · Quantitative Biology 2018-09-18 Daniel Durstewitz , Quentin J. M. Huys , Georgia Koppe

This work presents a comprehensive theory of consciousness grounded in mathematical formalism and supported by clinical data analysis. The framework developed herein demonstrates that consciousness exists as a continuous, non-monotonic…

Neurons and Cognition · Quantitative Biology 2025-07-04 Diogo Sousa

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

The oddball paradigm is widely applied to the investigation of multiple cognitive functions. Prior studies have explored the cortical oscillation and power spectral differing from the resting-state conduction to oddball paradigm, but…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Fali Li , Chanlin Yi , Yuanyuan Liao , Yuanling Jiang , Yajing Si , Limeng Song , Tao Zhang , Dezhong Yao , Yangsong Zhang , Zehong Cao , Peng Xu

Since the first recordings made of evoked action potentials it has become apparent that the responses of individual neurons to ongoing physiologically relevant input, are highly variable. This variability is manifested in non-stationary…

Neurons and Cognition · Quantitative Biology 2010-08-10 Avner Wallach , Danny Eytan , Asaf Gal , Christoph Zrenner , Ron Meir , Shimon Marom

Neuronal ensemble activity, including coordinated and oscillatory patterns, exhibits hallmarks of nonequilibrium systems with time-asymmetric trajectories to maintain their organization. However, assessing time asymmetry from neuronal…

Neurons and Cognition · Quantitative Biology 2025-12-12 Ken Ishihara , Hideaki Shimazaki

A theoretical framework describing the set of interactions between neurons in the brain, or functional connectivity, should include dynamical functions representing the propagation of signal from one neuron to another. Green's functions and…

Neurons and Cognition · Quantitative Biology 2021-03-24 Francesco Randi , Andrew M. Leifer

Objectives: The study aims to investigate the relationship between insomnia and response time. Additionally, it aims to develop a machine learning model to predict the presence of insomnia in participants using response time data. Methods:…

Machine Learning · Computer Science 2023-10-16 Zhao Su , Rongxun Liu , Keyin Zhou , Xinru Wei , Ning Wang , Zexin Lin , Yuanchen Xie , Jie Wang , Fei Wang , Shenzhong Zhang , Xizhe Zhang

Neuronal avalanches are a novel mode of activity in neuronal networks, experimentally found in vitro and in vivo, and exhibit a robust critical behaviour: These avalanches are characterized by a power law distribution for the size and…

Neurons and Cognition · Quantitative Biology 2012-04-02 Lucilla de Arcangelis , Hans J. Herrmann

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel

Stroke-induced disturbances of large-scale cortical networks are known to be associated with the extent of motor deficits. We argue that identifying brain networks representative of motor behavior in the resting brain would provide…

Neurons and Cognition · Quantitative Biology 2019-07-24 Ozan Özdenizci , Timm Meyer , Felix Wichmann , Jan Peters , Bernhard Schölkopf , Müjdat Çetin , Moritz Grosse-Wentrup

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

Dynamic response evaluation in structural engineering is the process of determining the response of a structure, such as member forces, node displacements, etc when subjected to dynamic loads such as earthquakes, wind, or impact. This is an…

Machine Learning · Computer Science 2023-08-21 Faisal Nissar Malik , James Ricles , Masoud Yari , Malik Arsala Nissar

Comprehending the interplay between spatial and temporal characteristics of neural dynamics can contribute to our understanding of information processing in the human brain. Graph neural networks (GNNs) provide a new possibility to…

Neurons and Cognition · Quantitative Biology 2022-04-29 Simon Wein , Alina Schüller , Ana Maria Tomé , Wilhelm M. Malloni , Mark W. Greenlee , Elmar W. Lang

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

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

We demonstrate that two key theoretical objects used widely in Computational Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike triggered average (STA) from statistical analysis, are closely related under a wide range…

Neurons and Cognition · Quantitative Biology 2007-09-26 G. Bard Ermentrout , Roberto F. Galán Nathaniel N. Urban

Discovering the neural mechanisms underpinning cognition is one of the grand challenges of neuroscience. However, previous approaches for building models of RNN dynamics that explain behaviour required iterative refinement of architectures…

Neurons and Cognition · Quantitative Biology 2026-02-24 Puria Radmard , Paul M. Bays , Máté Lengyel

The human brain is autonomously active, being characterized by a self-sustained neural activity which would be present even in the absence of external sensory stimuli. Here we study the interrelation between the self-sustained activity in…

Neurons and Cognition · Quantitative Biology 2017-11-27 C. Gros , G. Kaczor