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How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

In this work we study the synchronization of ring-structured cellular neural networks modeled by the lattice FitzHugh-Nagumo equations with boundary feedback. Through the uniform estimates of solutions and the analysis of dissipative…

Dynamical Systems · Mathematics 2020-06-23 Leslaw Skrzypek , Yuncheng You

A new mathematical model of neural networks described by diffusive FitzHugh-Nagumo equations with memristors and linear synaptic coupling is proposed and investigated. The existence of absorbing set for the solution semiflow in the energy…

Analysis of PDEs · Mathematics 2023-08-09 Yuncheng You , Jing Tian , Junyi Tu

We have studied the synchronization in finite $N$-unit FitzHugh-Nagumo neuron ensembles subjected to additive and multiplicative noises, by using the augmented moment method (AMM) which is reformulated with the use of the Fokker-Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

Synchronization in neural networks is strongly tied to the implementation of cognitive processes, but abnormal neuronal synchronization has been linked to a number of brain disorders such as epilepsy and schizophrenia. Here we examine the…

Neurons and Cognition · Quantitative Biology 2020-02-27 Brenton Maisel , Katja Lindenberg

Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

We examine the response of type II excitable neurons to trains of synaptic pulses, as a function of the pulse frequency and amplitude. We show that the resonant behavior characteristic of type II excitability, already described for harmonic…

Neurons and Cognition · Quantitative Biology 2015-06-26 Pablo Balenzuela , Javier M. Buldu , Marcos Casanova , Jordi Garcia-Ojalvo

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

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

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

Neurons and Cognition · Quantitative Biology 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

To study information processing in the brain, neuroscientists manipulate experimental stimuli while recording participant brain activity. They can then use encoding models to find out which brain "zone" (e.g. which region of interest,…

Neurons and Cognition · Quantitative Biology 2022-02-22 Mariya Toneva , Jennifer Williams , Anand Bollu , Christoph Dann , Leila Wehbe

We consider the information transmission problem in neurons and its possible implications for learning in neural networks. Our approach is based on recent developments in statistical physics and complexity science. Combining sensory…

Neurons and Cognition · Quantitative Biology 2025-09-30 Siddharth Kackar

Music large-scale form, the structure of musical units ranging over several bars, are studied using EEG measurements of 25 participants listened to the first four minutes of a piece of electronic dance music (EDM). Grand-averages of…

Neurons and Cognition · Quantitative Biology 2020-05-15 Lenz Hartmann , Rolf Bader

Identifying the spatio-temporal network structure of brain activity from multi-neuronal data streams is one of the biggest challenges in neuroscience. Repeating patterns of precisely timed activity across a group of neurons is potentially…

Neurons and Cognition · Quantitative Biology 2009-03-03 Casey Diekman , Kohinoor Dasgupta , Vijay Nair , P. S. Sastry , K. P. Unnikrishnan

We investigate the use of modularity as a quantifier of whole-brain functional networks. Brain networks are constructed from functional magnetic resonance imaging while subjects listened to auditory pieces that varied in emotivity and…

Neurons and Cognition · Quantitative Biology 2020-09-23 Melia E. Bonomo , Christof Karmonik , Anthony K. Brandt , J. Todd Frazier

The spontaneous emergence of coherent behavior through synchronization plays a key role in neural function, and its anomalies often lie at the basis of pathologies. Here we employ a parsimonious (mesoscopic) approach to study analytically…

Neurons and Cognition · Quantitative Biology 2014-09-30 Pablo Villegas , Paolo Moretti , Miguel A. Muñoz

The process of reconstructing experiences from human brain activity offers a unique lens into how the brain interprets and represents the world. In this paper, we introduce a method for reconstructing music from brain activity, captured…

Neurons and Cognition · Quantitative Biology 2026-02-12 Timo I. Denk , Yu Takagi , Takuya Matsuyama , Andrea Agostinelli , Tomoya Nakai , Christian Frank , Shinji Nishimoto

This study introduces a novel auditory neuronal network model that integrates speech signal input, cochlear processing, and a cortical excitatory-inhibitory (E-I) balanced network. Our findings reveal that increasing noise intensity…

Neurons and Cognition · Quantitative Biology 2025-12-09 Duoyu Feng , Jiajia Li