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The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

Dynamical Systems · Mathematics 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

At the turn of the 20th century, Henri Poincar{\'e} explained that geometry is a convention and that the properties of space and time are the properties of our measuring instruments. Intriguingly, numerous contemporary authors argue that…

Neurons and Cognition · Quantitative Biology 2024-05-17 Laurent Goffart

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

Neurons and Cognition · Quantitative Biology 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

Phase synchrony information plays a crucial role in analyzing functional brain connectivity and identifying brain activities. A widely adopted feature extraction pipeline, composed of preprocessing, selection of EEG acquisition channels,…

Signal Processing · Electrical Eng. & Systems 2023-10-12 Xu Niu , Na Lu , Huan Luo , Ruofan Yan

Sensory perception originates from the responses of sensory neurons, which react to a collection of sensory signals linked to various physical attributes of a singular perceptual object. Unraveling how the brain extracts perceptual…

Neurons and Cognition · Quantitative Biology 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Jianfeng Feng

Algorithms for the synchronisation of clocks across networks are both common and important within distributed systems. We here address not only the formal modelling of these algorithms, but also the formal verification of their behaviour.…

Logic in Computer Science · Computer Science 2018-09-28 Paul Gainer , Sven Linker , Clare Dixon , Ullrich Hustadt , Michael Fisher

Understanding the function of individual units in a neural network is an important building block for mechanistic interpretability. This is often done by generating a simple text explanation of the behavior of individual neurons or units.…

Machine Learning · Computer Science 2025-06-09 Tuomas Oikarinen , Ge Yan , Tsui-Wei Weng

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

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

The human brain provides a range of functions such as expressing emotions, controlling the rate of breathing, etc., and its study has attracted the interest of scientists for many years. As machine learning models become more sophisticated,…

Human-Computer Interaction · Computer Science 2020-05-25 Felix G. Hamza-Lup , Adytia Suri , Ionut E. Iacob , Ioana R. Goldbach , Lateef Rasheed , Paul N. Borza

Criticality is hypothesized as a physical mechanism underlying efficient transitions between cortical states and remarkable information processing capacities in the brain. While considerable evidence generally supports this hypothesis,…

Neurons and Cognition · Quantitative Biology 2023-06-12 Yang Tian , Zeren Tan , Hedong Hou , Guoqi Li , Aohua Cheng , Yike Qiu , Kangyu Weng , Chun Chen , Pei Sun

Addressing the question of visualising human mind could help us to find regions that are associated with observed cognition and responsible for expressing the elusive mental image, leading to a better understanding of cognitive function.…

Neurons and Cognition · Quantitative Biology 2021-02-11 Pan Wang , Rui Zhou , Shuo Wang , Ling Li , Wenjia Bai , Jialu Fan , Chunlin Li , Peter Childs , Yike Guo

In many body systems, constituents interact with each other, forming a recursive pattern of mutual interaction and giving rise to many interesting phenomena. Based upon concepts of the modern many body theory, a model for a generic many…

Soft Condensed Matter · Physics 2007-05-23 Zhen Ye

Human learning is a complex process in which future behavior is altered via the reorganization of brain activity and connectivity. It remains unknown whether activity and connectivity differentially reorganize during learning, and, if so,…

The idea to estimate the statistical interdependence among (interacting) brain regions has motivated numerous researchers to investigate how the resulting connectivity patterns and networks may organize themselves under any conceivable…

Neurons and Cognition · Quantitative Biology 2021-02-03 Matteo Fraschini , Simone Maurizio La Cava , Luca Didaci , Luigi Barberini

A healthy human brain is perfused with blood flowing laminarly through cerebral vessels, providing brain tissue with substrates such as oxygen and glucose. Under normal conditions, cerebral blood flow is controlled by autoregulation as well…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Miroslaw Latka , Malgorzata Turalska , Waldemar Kolodziej , Dariusz Latka , Brahm Goldstein , Bruce J. West

We present a collated set of algorithms to obtain objective measures of synchronisation in brain time-series data. The algorithms are implemented in MATLAB; we refer to our collated set of 'tools' as SyncBox. Our motivation for SyncBox is…

Quantitative Methods · Quantitative Biology 2020-12-14 Pranav Mahajan , Advait Rane , Swapna Sasi , Basabdatta Sen Bhattacharya

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

Chaotic Dynamics · Physics 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

This paper suggests a statistical framework for describing the relations between the physical and conceptual entities of a brain-like model. Features and concept instances are put into context, where the paper suggests that features may be…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Kieran Greer

The brain is a paradigmatic example of a complex system as its functionality emerges as a global property of local mesoscopic and microscopic interactions. Complex network theory allows to elicit the functional architecture of the brain in…

Neurons and Cognition · Quantitative Biology 2017-01-18 Rossana Mastrandrea , Andrea Gabrielli , Fabrizio Piras , Gianfranco Spalletta , Guido Caldarelli , Tommaso Gili